969 research outputs found
Classifying tame blocks and related algebras up to stable equivalences of Morita type
We contribute to the classification of finite dimensional algebras under
stable equivalence of Morita type. More precisely we give a classification of
the class of Erdmann's algebras of dihedral, semi-dihedral and quaternion type
and obtain as byproduct the validity of the Auslander-Reiten conjecture for
these classes of algebras
Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra
We realize explicitly the well-known additive decomposition of the Hochschild
cohomology ring of a group algebra in the elements level. As a result, we
describe the cup product, the Batalin-Vilkovisky operator and the Lie bracket
in the Hochschild cohomology ring of a group algebra.Comment: This paper uses a Maple program which is avaible at
http://math.bnu.edu.cn/~liuym
Two questions on stable equivalences of Morita type
It is well-known that derived equivalences preserve tensor products and
trivial extensions. We disprove both constructions for stable equivalences of
Morita type.Comment: 9 page
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